What is the inverse of f(x)=(x+17)/(x-14) ?

The inverse of f(x)=(x+17)/(x-14) is (17+14x)/(x-1)

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inverse of f(x)=(x+17)/(x-14)

inverse

f (x) = \frac{x + 17}{x - 14}

\frac{17 + 14 x}{x - 1}

Solution steps

y = \frac{x + 17}{x - 14}

Replace

x

with

y

x = \frac{y + 17}{y - 14}

Solve for

y, x = \frac{y + 17}{y - 14}

\frac{17 + 14 x}{x - 1}

x = 1

f (x) = - \frac{1}{2} x^{2} + 7 x - 3

f (x) = x^{2} - 12 x + 2

\frac{2}{1 - x}

2 x - 5 y = 9

What is the inverse of f(x)=(x+17)/(x-14) ?
The inverse of f(x)=(x+17)/(x-14) is (17+14x)/(x-1)